A uniform monotone alternating direction scheme for nonlinear singularly perturbed parabolic problems

Monotone iterative ADI method for solving coupled systems of nonlinear parabolic equations

“…In this paper, we extend the monotone ADI approach from [3] to systems of nonlinear parabolic problems.…”

“…In [3], we construct a nonlinear ADI scheme, based on the Douglas-Rachford ADI scheme [5], for solving scalar nonlinear parabolic problems. We consider the case when on each time level a nonlinear difference scheme is solved inexactly, and…”